UNIVERSITY OF WATERLOO
DEPARTMENT OF PHYSICS
Physics 115  Mechanics
Final Examination
December 8, 2006
9:00– 11:30
Time:
2.5 Hours
Name:
(Print)
Division
ID #
Signature
Professor:
Circle
One
R. Jayasundera
[Mec. St. 4]
008
D. Strickland [Elec. St. 4]
005
F. Mansour [Chem]
001
R. Jayasundera
[Mec. St. 8]
007
D. Strickland [Elec. St. 8]
006
F. Mansour [Env.Chem]
002
R. Allahverdi
[Comp.]
004
M. Fich
[Civil]
003
M. Balogh
[Softw.]
009
Aids Permitted:
Calculator, attached formula sheet
ATTEMPT ALL QUESTIONS
Important Instructions  Read Carefully
1.
Part A has 20 questions, worth 20%.
2.
Part B has 6 questions, worth 80%; 1 question per page; recommended average time per question:
approximately 20 minutes
3.
Check that your booklet has 13 pages (including 1 blank sheet at the back and this cover plus a
formula sheet).
Questions are to be answered on this paper.
Use the space under each question
first.
If necessary continue on back of previous
sheet and then on the blank sheet, and indicate by
writing
“continued at left” or
“continued on page 11”.
Answers
must
include units where
appropriate.
4.
In Part A, the letter corresponding to each answer must be entered on your computer sheet
in dark
lead PENCIL only.
Avoid erasures by checking answers before marking them.
Mark your I.D.
Number and Division Number in the space provided.
Also (THIS IS IMPORTANT) fill in the
correct ovals
for your I.D. Number and Division.
Do not mark “card number” column.
Check that
you have not missed, or put double marks in any row in the answer field.
5.
Print name, etc., in the upper right part of your computer sheet and at the top of this page.
6.
There is no penalty for marking incorrect answers.
7.
**NOTE:
KEEP COMPUTER SHEET FACE DOWN WHEN NOT IN USE
**
8.
**NOTE:
COMPUTER SHEETS WILL BE COLLECTED AFTER 2 HOURS
9.
In Part B, answers must be entered in the boxes provided.
These will be handmarked, and part
marks will be given liberally, if your solutions clearly show correct thinking.
10.
Ask a proctor to clarify a question
if you think that is necessary.
GOOD LUCK !
Use g = 9.80 m/s
2
(NOTE
: Assume all given data is accurate to three significant figures if needed)
Moment of Inertia (about axes through centre of mass
).
Cylinder or Disk (mass M, radius R, axis
to radius) : I
CM
= (1/2) MR
2
.
Solid Sphere (mass M, Radius
R) : I
CM
= (2/5) MR
2
Hoop (mass M, radius R, axis
to radius): I
CM
= MR
2
Rod (mass
M, length L, axis
to length) I
CM
= (1/12) ML
2
.
MARKS
ONLY
1B
2B
3B
4B
5B
6B
TOTAL
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
PHYSICS 115  FINAL EXAMINATION
PAGE 2 OF 13
1.
Vector
A
r
lies in the xy plane.
For what orientation of vector
A
r
will its components
have opposite signs.
(a)
1
st
quadrant
(b)
1
st
and 2
nd
quadrant
(c)
2
nd
and 4
th
quadrants
(d)
1
st
and 4
th
quadrants
(e)
2
nd
and 3
rd
quadrants
2.
A baseball is thrown with an initial speed of
(
)
ˆ
ˆ
10
15
/
i
j m s
+
.
When it reaches the top
of
its trajectory the velocity and acceleration are
(a)
2
ˆ
ˆ
15
/
and 0
/
j m s
i m s

(b)
2
ˆ
10
/
and 0
/
i m s
j m s
(c)
2
ˆ
10
/
and
9.8
/
i m s
j m s

(d)
2
ˆ
10
/
and
9.8
/
i m s
j m s
+
(e)
2
ˆ
ˆ
0
0
/
and 0
/
i
j m s
i m s
+
This is the end of the preview.
Sign up
to
access the rest of the document.
 Fall '06
 ROHAN
 mechanics, Force, Friction, Mass, Velocity

Click to edit the document details